## Precipitation titration » Equivalence point calculation

At equivalence point we have just a saturated solution of insoluble salt, so calculation of concentration of the determined ion is identical to the solubility calculations. Just for fun, we can derive seriously looking formula that will describe the concentration.

Let's assume we precipitate salt of a general formula Me_{k}X_{l}, with known K_{sp}:

Looking at the formula we can see that

so

and

However, in practice you will probably find it easier to solve the problem manually each time, than to look for formula or trying to remember it. That's what we will do in the following example.

Note, that in the real world it is quite often necessary to account for numerous side reactions - especially for protonation and hydrolysis of both metal cation and ligand.

Example: calculate pZn at the equivalence point of zinc titration with ferrocyanide, assuming pK_{sp} = 16.8.

We don't need any other information about volumes and concentrations! Let's start with dissolution reaction and K_{sp}:

Zn_{2}Fe(CN)_{6} → Zn^{2+} + Fe(CN)_{6}^{4-}

obviously

so

and

and finally

Let's check, if our general formula gives the same result. From the Zn_{2}Fe(CN)_{6} formula k=2 and l=1, so

That's the same.

Page was last modified on February 24 2009, 11:25:02.